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Finding the Fourth Proportional to 3,726.08, 5,589.10 and 952.74

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Solution

The fourth proportional to 3,726.08, 5,589.10 and 952.74 is: 1,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.08 : 5,589.10 = 952.74 : x
  2. Step 2: Convert to fraction form
    3,726.08/5,589.10 = 952.74/x
  3. Step 3: Cross multiply
    3,726.08x = 5,589.10 × 952.74
  4. Step 4: Simplify right side
    3,726.08x = 5,324,960.32
  5. Step 5: Solve for x
    x = 5,324,960.32/3,726.08
  6. Step 6: Final answer
    x = 1,429.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.